1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
nata0808 [166]
3 years ago
10

A box in the shape of a rectangular prism has a volume of 96 cubic feet. The box has a length of (x+8) feet, a width of x feet,

and a height of (x-2) feet. Find the dimensions of the box.
Mathematics
1 answer:
anygoal [31]3 years ago
3 0
96=(x+8)*x*(x-2)=x^3 +6x^2 -16x. Solve to get x= -6,-4,4. Negative distance doesn't make sense, so x=+4. Therefore, length is (x+8)=(4+8)= 12, width=x=4, and height=(x-2)=(4-2)=2.
You might be interested in
If A={4,5,6,7} and b={a,e,i,o,u} then find n (A)+n(B) ​
kompoz [17]

Answer:

9

Step-by-step explanation:

n(A)+n(B) [n(A)=cardinal numbers of set A.so we have to count the elements and write .

=4+5

=9

6 0
3 years ago
Consider a data set containing the following values: 70 65 71 78 89 68 50 75 The mean of the preceding values is 70.75. The devi
Leokris [45]

Answer:

If this is the sample data, the sample variance is 125.07 and the sample standard deviation is 11.18

If this is a population data, the population variance is 109.44 and the population standard deviation is 10.46

Step-by-step explanation:

We are given the following data-set:

70, 65, 71, 78, 89, 68, 50, 75

Deviations from the mean

–0.75, –5.75 , 0.25, 7.25, 18.25, –2.75, –20.75, 4.2

Sample size, n = 8

Sample:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.

Sum of squares of differences =

0.5625 + 33.0625 + 0.0625 + 52.5625 + 333.0625 + 7.5625 + 430.5625 + 18.0625 = 875.5

s = \sqrt{\dfrac{875.5}{7}} = 11.18

\text{ Sample variance} = s^2 = 125.07

Population:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.

Sum of squares of differences =

0.5625 + 33.0625 + 0.0625 + 52.5625 + 333.0625 + 7.5625 + 430.5625 + 18.0625 = 875.5

\sigma = \sqrt{\dfrac{875.5}{8}} = 10.46

\text{ Population variance} = \sigma^2 = 109.44

7 0
3 years ago
Please help... what is the domain of this graph?
k0ka [10]

Answer:-8,4 is ur answer

5 0
3 years ago
Can you help me with letter C? ​
Ierofanga [76]

Answer:

lets count the hundreths 20 + 28 = 48 tenths which would be .48 as a decimal then it would be 48/100, then 480% I think please wait for more responses if needed.

4 0
3 years ago
One garden had 5 times as many raspberry bushes as a second garden. After 22 bushes are transplanted from the first garden to th
Aleonysh [2.5K]

Let the number of raspberry bushes in one garden = x

And the number of raspberry bushes in second garden = y

Garden one has 5 times as many raspberry bushes as second garden,

So the equation will be,

x = 5y -------(1)

If 22 bushes were transplanted from garden one to the second, number of bushes in both the garden becomes same,

Therefore, (x - 22) = (y + 22)

x - y = 22 + 22

x - y = 44 ------(2)

Substitute the value of x from equation (1) to equation (2)

5y - y = 44

4y = 44

y = 11

Substitute the value of 'y' in equation (1),

x = 5(11)

x = 55

Therefore, Number of bushes in garden one were 55 and in second garden 11 originally.

Learn more,

brainly.com/question/12422372

5 0
3 years ago
Other questions:
  • 1) Which of the following points is not on the graph of y=-3x^2+6x-4
    15·2 answers
  • You work at a T-shirt printing business. Of the 2,800 T-shirts shipped, 396 have a defect. What is the experimental probability
    10·2 answers
  • Round 2.1 to the nearest whole number.
    5·2 answers
  • Find the equation of a line containing the given points (4,3) and (8,1). Write the equation in slope-intercept form. Please give
    14·1 answer
  • Solve the equation Z-19=34
    14·1 answer
  • 99 POINTS! PLZ HELP!!
    8·2 answers
  • The ratio of raspberries to strawberries is 1:7. If there
    5·1 answer
  • M upon 2 +6 = 2m - 6​
    9·1 answer
  • What is the answer for this using substitution?
    7·1 answer
  • I NEED YOUR HELLPPP!!
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!